Peel that there membrane off and put it on the wound (continue holding pressure)

The membrane will harden and keep the wound closed until you can get to the ER for stitches

If you even need them that is

Nature: 1, Band aids: 0

You’re welcome.

I did some research on this (because I do that now, fucking science get out) and it seems that this was done in the early 1900s somewhat frequently. It was used as a way to treat just about any kind of skin wound, from burn to cut to in at least one case an ulcer. It actually helps the wound heal not by preventing blood loss but by replacing part of the skin tissue and helping it grow.